Ideal gases

Chemistry · Structure 1: Models of the particulate nature of matter. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

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The idea

An ideal gas is a model. It assumes that the particles are in constant random motion, that their own volume is negligible compared with the container, that there are no forces between them, and that collisions are perfectly elastic (no kinetic energy is lost). The average kinetic energy is proportional to the temperature in kelvin.

Real gases behave almost ideally at high temperature and low pressure, when the particles are fast and far apart. They deviate most at low temperature and high pressure. Then the particles are close and slow, so their volume and the attractions between them matter.

One equation links pressure, volume, temperature and amount: PV = nRT. Temperature must always be in kelvin.

Rules to remember

Common mistake

Putting a Celsius temperature into a gas equation, or mixing Pa with dm3. Change to kelvin and check the units before you calculate.

Worked example

A fixed mass of gas occupies 600 cm3 at 100 kPa and 300 K. What volume does it occupy at 200 kPa and 400 K?

  1. Use P1V1 ÷ T1 = P2V2 ÷ T2, so V2 = V1 × (P1 ÷ P2) × (T2 ÷ T1).
  2. V2 = 600 × (100 ÷ 200) × (400 ÷ 300).
  3. 600 × 0.5 = 300, then 300 × 400 ÷ 300 = 400 cm3.

Answer: 400 cm3

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